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12321411360 = 2535199128993
BaseRepresentation
bin10110111100110100…
…11101000100100000
31011210200220112211220
423132122131010200
5200213240130420
65354350335040
7614223161046
oct133632350440
934720815756
1012321411360
11525312a7a5
12247a4ba480
13121491b26b
1484c5a6396
154c1aad840
hex2de69d120

12321411360 has 96 divisors (see below), whose sum is σ = 39007785600. Its totient is φ = 3269173248.

The previous prime is 12321411343. The next prime is 12321411367. The reversal of 12321411360 is 6311412321.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 12321411360.

It is not an unprimeable number, because it can be changed into a prime (12321411367) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31024 + ... + 160016.

It is an arithmetic number, because the mean of its divisors is an integer number (406331100).

Almost surely, 212321411360 is an apocalyptic number.

12321411360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12321411360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19503892800).

12321411360 is an abundant number, since it is smaller than the sum of its proper divisors (26686374240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12321411360 is a wasteful number, since it uses less digits than its factorization.

12321411360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129210 (or 129202 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 12321411360 its reverse (6311412321), we get a palindrome (18632823681).

The spelling of 12321411360 in words is "twelve billion, three hundred twenty-one million, four hundred eleven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 199 240 398 480 597 796 995 1194 1592 1990 2388 2985 3184 3980 4776 5970 6368 7960 9552 11940 15920 19104 23880 31840 47760 95520 128993 257986 386979 515972 644965 773958 1031944 1289930 1547916 1934895 2063888 2579860 3095832 3869790 4127776 5159720 6191664 7739580 10319440 12383328 15479160 20638880 25669607 30958320 51339214 61916640 77008821 102678428 128348035 154017642 205356856 256696070 308035284 385044105 410713712 513392140 616070568 770088210 821427424 1026784280 1232141136 1540176420 2053568560 2464282272 3080352840 4107137120 6160705680 12321411360